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William Trenberth

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  • Deprecated function: Return type of DatabaseStatementBase::execute($args = [], $options = []) should either be compatible with PDOStatement::execute(?array $params = null): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2244 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseStatementEmpty::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/maxwell/public_html/migsaa/includes/database/database.inc).
  • Deprecated function: Return type of DatabaseCondition::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 1652 of /home/maxwell/public_html/migsaa/includes/database/query.inc).
  • Deprecated function: Optional parameter $data declared before required parameter $info is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in drupal_random_bytes() (line 2268 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Return type of DateObject::__wakeup() should either be compatible with DateTime::__wakeup(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/date/date_api/date_api.module).
  • Deprecated function: Return type of DateObject::format($format, $force = false) should either be compatible with DateTime::format(string $format): string, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/date/date_api/date_api.module).
  • Deprecated function: Return type of DateObject::setTimezone($tz, $force = false) should either be compatible with DateTime::setTimezone(DateTimeZone $timezone): DateTime, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/date/date_api/date_api.module).
  • Deprecated function: Optional parameter $data declared before required parameter $name is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $data declared before required parameter $name is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $file declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $account declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $entity declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $account declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $values declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $view_mode declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $langcode declared before required parameter $entity_type is implicitly treated as a required parameter in require_once() (line 341 of /home/maxwell/public_html/migsaa/includes/module.inc).
  • Deprecated function: Optional parameter $terms declared before required parameter $node is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $args declared before required parameter $node is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $checkbox declared before required parameter $input is implicitly treated as a required parameter in include_once() (line 1389 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: rtrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2349 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: Optional parameter $base_table declared before required parameter $options is implicitly treated as a required parameter in include_once() (line 3492 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Optional parameter $base_field declared before required parameter $options is implicitly treated as a required parameter in include_once() (line 3492 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • Deprecated function: Return type of RulesRecursiveElementIterator::hasChildren() should either be compatible with RecursiveIterator::hasChildren(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 2088 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/rules/includes/rules.core.inc).
  • Deprecated function: Return type of RulesRecursiveElementIterator::getChildren() should either be compatible with RecursiveIterator::getChildren(): ?RecursiveIterator, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 2088 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/rules/includes/rules.core.inc).
  • Deprecated function: Return type of RulesContainerPlugin::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 2102 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/rules/includes/rules.core.inc).
  • Deprecated function: strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated in url_is_external() (line 2393 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: str_replace(): Passing null to parameter #3 ($subject) of type array|string is deprecated in url_is_external() (line 2395 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2311 of /home/maxwell/public_html/migsaa/includes/common.inc).

People Details

Position: 
Alumnus, UNIVERSITY OF EDINBURGH
Location: 
MIGSAA
Room: 
5210 JCMB, King's Buildings
Email: 

s1641251@sms.ed.ac.uk

Research Interests: Analysis of PDEs

William completed a Bachelor of Science (Honours) degree at the University of Auckland. As a part of this degree William wrote a dissertation on the Gelfand-Naimark theorem in C*-Algebras. While at the University of Auckland William developed an interest in analysis and in particular the analysis of PDEs. He looks forward to studying PDEs at MIGSAA. Outside of mathematics William enjoys cricket and supports the Black Caps, the New Zealand national cricket team.

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William Trenberth | The Maxwell Institute for Mathematical Sciences

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  • Deprecated function: mb_substr(): Passing null to parameter #1 ($string) of type string is deprecated in drupal_substr() (line 593 of /home/maxwell/public_html/migsaa/includes/unicode.inc).
  • Deprecated function: strip_tags(): Passing null to parameter #1 ($string) of type string is deprecated in syslog_watchdog() (line 114 of /home/maxwell/public_html/migsaa/modules/syslog/syslog.module).
  • Warning: Cannot modify header information - headers already sent by (output started at /home/maxwell/public_html/migsaa/includes/common.inc:2807) in drupal_send_headers() (line 1501 of /home/maxwell/public_html/migsaa/includes/bootstrap.inc).
  • TypeError: xmlsitemap_node_create_link(): Argument #1 ($node) must be of type stdClass, bool given, called in /home/maxwell/public_html/migsaa/sites/all/modules/contrib/xmlsitemap/xmlsitemap_node/xmlsitemap_node.module on line 28 in xmlsitemap_node_create_link() (line 194 of /home/maxwell/public_html/migsaa/sites/all/modules/contrib/xmlsitemap/xmlsitemap_node/xmlsitemap_node.module).
  • Deprecated function: strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated in url_is_external() (line 2393 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: str_replace(): Passing null to parameter #3 ($subject) of type array|string is deprecated in url_is_external() (line 2395 of /home/maxwell/public_html/migsaa/includes/common.inc).
  • Deprecated function: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2311 of /home/maxwell/public_html/migsaa/includes/common.inc).
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